Scale-dependent planar Anti-de Sitter black hole

Understand

In this work, we investigate four-dimensional planar black hole solutions in anti-de Sitter spacetimes in light of the so-called scale-dependent scenario.

• To obtain this new family of solutions, the classical couplings of the theory, i.e., the gravitational coupling and the cosmological constant, are not taken to be fixed values anymore.
• Thus, those classical parameters evolve to functions which change along the "height" coordinate, z.
• The effective Einstein field equations are solved, and the results are analyzed and compared with the classical counterpart.